Ratios and Proportions
What is a ratio? Provide an example.
A ratio is a comparison of two quantities. Example: 3:5.
What is an expression? Give an example.
An expression is a combination of numbers, variables, and operations. Example: 3x+5
What is the mean of the set: {4, 8, 6, 10}?
Mean = 7.
What is the formula for the area of a rectangle?
Area = length×width
What is probability?
Probability is the likelihood of an event occurring.
If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?
The ratio of flour to sugar is 2:3
Simplify the expression: 3x+5x.
8x.
What is the median of the set: {5, 2, 9, 1, 7}?
Median = 5.
Calculate the area of a triangle with a base of 6 cm and a height of 4 cm.
Area = 12 cm2
If you flip a coin, what is the probability of getting heads?
Probability of heads = 1/2.
Solve for x: If 3/4=x/16
x=12.
Solve the equation: 2x+3=11
x=4.
What is the mode of the set: {3, 3, 6, 7, 8, 8, 8}?
Mode = 8.
What is the circumference of a circle with a radius of 7 cm? (Use π≈3.14)
Circumference = 43.96 cm (using C=2πr).
A bag contains 4 red, 3 blue, and 5 green marbles. What is the probability of drawing a blue marble?
Probability of drawing a blue marble = 3/12=1/4
A map has a scale of 1 inch to 5 miles. How many miles does 3 inches represent?
15 miles.
What is the value of xx in 5(x−2)=15
x=5.
How would you find the range of the set: {12, 15, 11, 20, 9}?
Range = 11 (20 - 9).
How do you find the volume of a rectangular prism?
Volume = length×width×height
What is the probability of rolling a 3 on a standard six-sided die?
If a car travels 150 miles on 5 gallons of gas, what is the ratio of miles per gallon?
The ratio is 30 miles per gallon.
Write an equation to represent the statement: "Three times a number decreased by 7 equals 20."
3x−7=20.
Explain how to create a box plot for the data set: {10, 20, 30, 40, 50}.
A box plot includes the minimum, first quartile, median, third quartile, and maximum.
If two angles of a triangle measure 50° and 60°, what is the measure of the third angle?
The third angle is 70°.
If the chance of rain tomorrow is 70%, what is the probability that it will not rain?
Probability it will not rain = 30% (or 0.30 ).